>>113990yes, 414 is the volume
is it the perspective drawing you have troubles with or the concept of how volumes work? you're not even all that wrong in
>>113962. conceptually it's the same thing. if you imagine an infinite amount of 2d trapezoids stacked on top of each other 2.3 cm high, you're on the right track. that's how volumes work. and "adding" those layers is equal to multiplying with the height.
that operation is the same for all bodies of that type which have the same top and bottom face. a cylinder is just circles stacked on top of each other. volume: 2r*pi*height.
the more useful visualisation is not stacking layers but taking the bottom layer and *sliding* it into the top position. along the height. everything the layer passes through is what makes up the volume. and the sliding operation is the equivalent to a multiplication.